Logarithmic differential forms and logarithmic residues associated to a hypersurface with an isolated singularity are considered in the context of computational complex analysis. An effective method is introduced for computing logarithmic residues. A relation between logarithmic differential forms and the Brieskorn formula on Gauss-Manin connection are discussed. Some examples are also given for illustration.

中文翻译：

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通过 Saito 的对数残差计算正则亚纯微分形式

在计算复杂分析的上下文中考虑与具有孤立奇点的超曲面相关联的对数微分形式和对数残基。介绍了一种计算对数残差的有效方法。讨论了对数微分形式与高斯-曼宁连接的 Brieskorn 公式之间的关系。还给出了一些示例以供说明。